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Finding the Third Proportional to 105,750 and 230,436

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Solution

The third proportional to 105,750 and 230,436 is: 502,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,750 : 230,436 = 230,436 : x
  2. Step 2: Convert to fraction form
    105,750/230,436 = 230,436/x
  3. Step 3: Cross multiply
    105,750x = 230,436 × 230,436
  4. Step 4: Simplify right side
    105,750x = 53,100,750,096
  5. Step 5: Solve for x
    x = 53,100,750,096/105,750
  6. Step 6: Final answer
    x = 502,134.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.